Solve 56^2div9*(4sqrt{5-6)}

$${ 56 }^{ 2 } \div 9 \times (4 \sqrt{ 5-6) }$$

Evaluate (complex solution)

$$\frac{12544}{9}i\approx 1393.777777778i$$

Solution Steps

Calculate 56 to the power of 2 and get 3136.

$$\frac{3136}{9}\times 4\sqrt{5-6}$$

Express \frac{3136}{9}\times 4 as a single fraction.

$$\frac{3136\times 4}{9}\sqrt{5-6}$$

Multiply 3136 and 4 to get 12544.

$$\frac{12544}{9}\sqrt{5-6}$$

Subtract 6 from 5 to get -1.

$$\frac{12544}{9}\sqrt{-1}$$

Calculate the square root of -1 and get i.

$$\frac{12544}{9}i$$

Real Part (complex solution)

$$0$$

Solution Steps

Calculate 56 to the power of 2 and get 3136.

$$Re(\frac{3136}{9}\times 4\sqrt{5-6})$$

Express \frac{3136}{9}\times 4 as a single fraction.

$$Re(\frac{3136\times 4}{9}\sqrt{5-6})$$

Multiply 3136 and 4 to get 12544.

$$Re(\frac{12544}{9}\sqrt{5-6})$$

Subtract 6 from 5 to get -1.

$$Re(\frac{12544}{9}\sqrt{-1})$$

Calculate the square root of -1 and get i.

$$Re(\frac{12544}{9}i)$$

The real part of \frac{12544}{9}i is 0.

$$0$$

Evaluate

$$\text{Indeterminate}$$

Solution Steps

Calculate 56 to the power of 2 and get 3136.

$$\frac{3136}{9}\times 4\sqrt{5-6}$$

Express \frac{3136}{9}\times 4 as a single fraction.

$$\frac{3136\times 4}{9}\sqrt{5-6}$$

Multiply 3136 and 4 to get 12544.

$$\frac{12544}{9}\sqrt{5-6}$$

Subtract 6 from 5 to get -1.

$$\frac{12544}{9}\sqrt{-1}$$